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    Question

    If runs of R is 70 and sum of runs of R and S is 120,

    then what may be the possible runs of U? Answer the questions based on the information given below. Six persons - P, Q, R, S, T, U are ranked according to their runs. The runs of Q is more than the runs of T. The number of persons scored more runs than Q is one less than the number of persons scored less runs than T. The runs of R is more than U, whose runs is more than S. At least two persons scored  less runs than S.
    A 50 Correct Answer Incorrect Answer
    B 84 Correct Answer Incorrect Answer
    C 40 Correct Answer Incorrect Answer
    D 55 Correct Answer Incorrect Answer
    E 49 Correct Answer Incorrect Answer

    Solution

    R + S = 120

    70 + S = 120

    S = 120 – 70 = 50.


    Possible Runs of U will between 50 and 70.

    The runs of Q is more than the runs of T. The number of persons more than Q is one less than the number of persons less than T.

    Q > ___ > _____ > ___ T > ___ ……… (I)

    ____ > Q > ___ > T > ___ > ___ ……… (II)

    The runs of R is more than U, whose runs is more than S. At least two persons have less runs than S.

    Q > R > U > S > T > P ……… (I)

    ____ > Q > ___ > T > ___ > ___ ……… (II)


    Case 2 will get discarded.


    Therefore, the final arrangement is as follow:

    Q(highest) > R > U > S > T > P(lowest)

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